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137403380 = 225232811063
BaseRepresentation
bin10000011000010…
…01101111110100
3100120112211000002
420030021233310
5240133402010
621345010432
73255623642
oct1014115764
9316484002
10137403380
1170619214
123a023a18
132260b49a
141436a192
15c0e21a5
hex8309bf4

137403380 has 48 divisors (see below), whose sum is σ = 302448384. Its totient is φ = 52335360.

The previous prime is 137403379. The next prime is 137403407. The reversal of 137403380 is 83304731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128729 + ... + 129791.

It is an arithmetic number, because the mean of its divisors is an integer number (6301008).

Almost surely, 2137403380 is an apocalyptic number.

137403380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137403380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151224192).

137403380 is an abundant number, since it is smaller than the sum of its proper divisors (165045004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137403380 is a wasteful number, since it uses less digits than its factorization.

137403380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 137403380 is about 11721.9187849089. The cubic root of 137403380 is about 516.0191337576.

The spelling of 137403380 in words is "one hundred thirty-seven million, four hundred three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1063 1124 1405 2126 2810 4252 5315 5620 6463 10630 12926 21260 24449 25852 32315 48898 64630 97796 122245 129260 244490 298703 488980 597406 1194812 1493515 2987030 5974060 6870169 13740338 27480676 34350845 68701690 137403380